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The weak field approximation in a model of de Sitter gravity is investigated in the static and spherically symmetric case, under the assumption that the vacuum spacetime without perturbations from matter fields is a torsion-free de Sitter…

General Relativity and Quantum Cosmology · Physics 2013-06-12 Jia-An Lu , Chao-Guang Huang

We use a field theoretic generalization of the Wigner-Weisskopf method to study the stability of the Bunch-Davies vacuum state for a massless, conformally coupled interacting test field in de Sitter space. We find that in $\lambda \phi^4$…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-17 Daniel Boyanovsky , Richard Holman

We sketch the construction of a quantum model of 3 dimensional de Sitter space, based on the Covariant Entropy Principle and the observation that semi-classical physics suggests the possibility of a consistent theory of a finite number of…

High Energy Physics - Theory · Physics 2024-01-31 Sidan A , Tom Banks , Willy Fischler

We argue that if de Sitter space is indeed represented by a finite dimensional quantum system, then semi-classical considerations, combined with the fundamental principles of quantum measurement theory, imply that any theoretical model of…

High Energy Physics - Theory · Physics 2026-05-14 Tom Banks

We discuss the quantization of linearized gravity in the background de Sitter spacetime using a gauge-invariant formalism to write the perturbed gravitational field in the static patch. This field is quantized after fixing the gauge…

General Relativity and Quantum Cosmology · Physics 2018-04-11 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi

The quantum theory of the vector field minimally coupled to the gravity of the de Sitter spacetime is built in a canonical manner starting with a new complete set of quantum modes of given momentum and helicity derived in the moving chart…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Ion I. Cotaescu

From the group theoretical point of view, it is proved that the theory of linear conformal gravity should be written in terms of a tensor field of rank-3 and mixed symmetry [Binegar, et al, Phys. Rev. D 27, (1983) 2249]. We obtained such a…

General Relativity and Quantum Cosmology · Physics 2012-07-10 M. V. Takook , H. Pejhan , M. Reza Tanhayi

We discuss some general properties of quantum gravity in De Sitter space. It has been argued that the Hilbert space is of finite dimension. This suggests a macroscopic argument that General Relativity cannot be quantized -- unless it is…

High Energy Physics - Theory · Physics 2007-05-23 Edward Witten

We discuss peculiarities of quantum fields in de Sitter space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Non-conformal quantum field theories in de Sitter space show very special…

High Energy Physics - Theory · Physics 2018-01-03 E. T. Akhmedov

In a recent paper [1], it has been shown that negative norm states are indispensable for a fully covariant quantization of the minimally coupled scalar field in de Sitter space. Their presence, while leaving unchanged the physical content…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mohammad Vahid Takook

Within the context of modified gravity and dark energy scenarios of the accelerating universe, we study the stability of de Sitter space with respect to inhomogeneous perturbations using a gauge-independent formalism. In modified gravity…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valerio Faraoni

We study the free massive scalar field in de Sitter spacetime with static charts. In particular, we find positive-frequency modes for the Bunch-Davies vacuum state natural to the static charts as superpositions of the well-known…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Atsushi Higuchi , Kazuhiro Yamamoto

As a spacetime with compact spatial sections, de Sitter spacetime does not have a de Sitter-invariant ground state for a minimally-coupled massless scalar field that gives definite expectation values for any observables not invariant under…

High Energy Physics - Theory · Physics 2015-06-04 Don N. Page , Xing Wu

We consider the massless minimally coupled scalar field in the de Sitter ambient space formalism as a gauge potential or connection field. We construct the scalar gauge theory by helping an arbitrary constant five-vector field $B^\alpha$…

High Energy Physics - Theory · Physics 2022-09-28 M. V. Takook

Linearized Einstein gravity (with possibly nonzero cosmological constant) is quantized in the framework of algebraic quantum field theory by analogy with Dimock's treatment of electromagnetism [Rev. Math. Phys. 4 (1992) 223--233]. To…

Mathematical Physics · Physics 2013-09-13 Christopher J. Fewster , David S. Hunt

The de Sitter conjecture yields a severe bound on possible vacua for a consistent quantum gravity. We extend the de Sitter conjecture by taking into account dynamics of the scalar field. We then apply such an extended de Sitter conjecture…

High Energy Physics - Theory · Physics 2025-12-30 Muneto Nitta , Kunihito Uzawa

We investigate the details of the canonical quantization of effective quantum field theories in anti-de Sitter spacetime, emphasizing the stability of the quantum vacuum. We take the scalar and Maxwell fields as examples. For the…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Shi-Yuan Li , Chengwu Liu

In this paper, the two-point function of linearized gravitons on de Sitter (dS) space is presented. Technically, respecting the dS ambient space notation, the field equation is given by the coordinate-independent Casimir operators of the de…

General Relativity and Quantum Cosmology · Physics 2018-08-16 Hamed Pejhan , Surena Rahbardehghan

Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isometries and compact Cauchy…

High Energy Physics - Theory · Physics 2026-02-23 Molly Kaplan , Donald Marolf , Xuyang Yu , Ying Zhao

We point out a potential relevance between the Krein-Gupta-Bleuler (KGB) vacuum leading to a fully covariant quantum field theory for gravity in de Sitter (dS) spacetime and the observable smallness of the cosmological constant. This may…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Hamed Pejhan , Kazuharu Bamba , Mohammad Enayati , Surena Rahbardehghan